I connects certain verbs with infinitives.
+---I----+ +-S-+--I-+ +S-+-O--+ | | | | | | | | I must go to the store I made him goInfinitive verb forms have "I-", conjoined with their complement connectors. In every case except "be", the infinitive form is the same as the plural form; therefore the same expression can be used. Plural-infinitive forms thus carry "(Ss- or I- or Wi-) & [complement]". (The Wi- is used to connect to the wall in imperative constructions.)
Modal verbs - "will", "may", "can", and the like - have I+ connectors; certain other verbs do as well, such as "do" and "help". Some verbs have I+ conjoined with O+, like "make" and "see", allowing an object followed by an infinitive. In these latter cases, the infinitive verb relates to the direct object of the main verb; it is similar in this respect to object+infinitive constructions like "I want him to go". Thus it is appropriate to include the O and I link in their own domain. For this reason, we label the I+ connector on such verbs as "I*j+", and make this an "urfl-domain"-starting link, including both the O and the I*j. (See "TOo".)
The word "to" also has an "I+", conjoined with "TO-", used in "to+infinitive" constructions.
Modal verbs are almost always used with an infinitive. However, occasionally the infinitive is omitted: "If you cannot do it, you should find someone who can". For this reason, modals are given "S- & (I+ or [[()]])"; this allows them to make no connection to an infinitive, with a cost of 2. "Do" is similar in this respect.
+--Bsw--+ | +I*a+ | | | I wonder what to buy
Post-processing insures that I*a is only used in the same group as a B*w or B*m, thus preventing unwanted uses of this connector.
In infinitival indirect questions with "where/when/how" - "I wonder where to go" - the question word instead makes a TOn connection with "to". See "TO: Other kinds of TO connectors".
+--I*d-+-Ox-+ | | | I did see him yesterday
+--I*g-+-MVp-+-J-+ | | | | come walk with me
+----I*j---+ +---I---+-Ox-+ | | | | | you should hear him sing
+--Iqv--+---I*d---+ +--Ss*q-+ +-Xd-+-SIs-+ +Osm+ | | | | | | | the big question.n is.v , did.v-d he do.v it ?